@ Admiral Archer (welcome to the BBS!)
Here's a link to another BBS page
to show the location of the Season One "Engineering Control Room" in compliance with the actual Season One Studio set.
And here is the link to another BBS page
to show the location of the Season Two warp or main sensor-deflector engine room, compliant with T'Girl
's (and others) observations and compliant with the actual (different) Season Two studio set and original TOS footage from "Day of the Dove" (engineering hull exit point of alien entity).
The "cathedral" behind the grated wall opening in the engine room did also glow and pulsate in "Elaan of Troyius" while the ship was underway at impulse power / sublight only, so it doesn't necessarily indicate warp drive functions.